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带非连续解椭圆问题的3次Hermite配点方法
椭圆问题 Hermite插值 配点方法
2014/1/9
使用3次Hermite配点方法，对一类带有非连续解的椭圆问题进行数值求解，將其解的不连续点取作网格节点，解在不连续点的左右极限作为未知量，结合解在不连续点的“跳跃”信息对原问题进行离散.数值实验表明此方法的收敛阶为O(h4).
在半离散格式下讨论了一类非线性Sine-Gordon方程的Hermite型矩形元逼近.利用该元的高精度分析和对时间t的导数转移技巧, 得到了H1模意义下O(h2)阶的最优误差估计和O(h3)阶的超逼近性.进一步地,通过运用插值后处理方法,给出了超收敛结果.与此同时, 借助于构造一个新的外推格式,导出了与线性情形相同的O(h4)阶外推解.
Applications of the Extended Hermite-Hadamard Inequality
Convexity Hermite-Hadamard inequality Identities
2008/7/2
In this paper we give some combinatorial applications according to a new extension of the classical Hermite-Hadamard inequality proved in [1].
An Extension of the Hermite-Hadamard Inequality and an Application for Gini and Stolarsky Means
Hadamard's Inequality Gini means Stolarsky means
2008/7/2
An Extension of the Hermite-Hadamard Inequality and an Application for Gini and Stolarsky Means.
An Inequality Improving the First Hermite-Hadamard Inequality for Convex Functions Defined on Linear Spaces and Applications for Semi-Inner Products
Hermite-Hadamard integral inequality Convex functions Semi-Inner Products
2008/7/2
An integral inequality for convex functions defined on linear spaces is obtained which contains in a particular case a refinement for the first part of the celebrated Hermite-Hadamard inequality. Appl...
An Inequality Improving the Second Hermite-Hadamard Inequality for Convex Functions Defined on Linear Spaces and Applications for Semi-Inner Products
Hermite-Hadamard integral inequality Convex functions Semi-Inner Products
2008/7/2
An inequality for convex functions defined on linear spaces is obtained which contains in a particular case a refinement for the second part of the celebrated Hermite-Hadamard inequality. Applications...
Hardy-Type Inequalities For Hermite Expansions
Atomic decomposition Fourier-Hermite coefficient Hardy spaces Hermite functions
2008/7/1
Hardy-Type Inequalities For Hermite Expansions.
Hermite-Hadamard Type Inequalities for Increasing Radiant Functions
Increasing radiant functions Abstract convexity Hermite-Hadamard type inequalities
2008/7/1
We study Hermite-Hadamard type inequalities for increasing radiant functions and give some simple examples of such inequalities.
On Certain Inequalities Improving the Hermite-Hadamard Inequality
Convex function Hermite-Hadamard inequality Mean value
2008/6/27
A generalized form of the Hermite-Hadamard inequality for convex Lebesgue integrable functions are obtained.
Refinements of the Hermite-Hadamard Inequality for Convex Functions
Convex Functions Hermite-Hadamard Inequality Refinements
2008/6/27
New refinements for the celebrated Hermite-Hadamard inequality for convex functions are obtained. Applications for special means are pointed out as well.
Cardinal-Hermite插值逼近
Sobolev空间 Cardinal-Hermite插值 逼近
2012/11/13
Sobolev空间的Cardinal样条逼近已有较多研究.在此研究了Sobolev空间的Cardinal-Hermite插值问题,构造了插值逼近算子,并利用插值算子对多项式的重构性质获得了逼近阶的估计.
非Hermite正定矩阵与正稳定矩阵
非Hermite正定矩阵 正定矩阵 正稳定矩阵 半正稳定矩阵
2012/11/16
利用非Hermite正定矩阵的概念及性质,获得了正稳定矩阵几个新的充要条件.